Solving Quadratics using the Quadratic Equati

Question

A waterfall has a height of 1500 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height of the pebble h in feet after t seconds is given by the equation h=−16t^2+16t+1500. How long after the pebble is thrown will it hit the​ ground?

The time it takes for the pebble to hit the ground is about

Answer 1

h(t) = -16t^2+ 16t+ 1500 = 0 when it hits the ground

use the quadradic formula

it's about 10.2 seconds

in 10 seconds h= -1600+160+1500=60 feet from the ground